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Finding the Third Proportional to 88,726,345,202 and 197,290,634,980

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Solution

The third proportional to 88,726,345,202 and 197,290,634,980 is: 438,692,640,412.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,726,345,202 : 197,290,634,980 = 197,290,634,980 : x
  2. Step 2: Convert to fraction form
    88,726,345,202/197,290,634,980 = 197,290,634,980/x
  3. Step 3: Cross multiply
    88,726,345,202x = 197,290,634,980 × 197,290,634,980
  4. Step 4: Simplify right side
    88,726,345,202x = 38,923,594,650,811,598,110,720
  5. Step 5: Solve for x
    x = 38,923,594,650,811,598,110,720/88,726,345,202
  6. Step 6: Final answer
    x = 438,692,640,412.45

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.